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Finding the Third Proportional to 876,640 and 1,283,431

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Solution

The third proportional to 876,640 and 1,283,431 is: 1,878,986.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,640 : 1,283,431 = 1,283,431 : x
  2. Step 2: Convert to fraction form
    876,640/1,283,431 = 1,283,431/x
  3. Step 3: Cross multiply
    876,640x = 1,283,431 × 1,283,431
  4. Step 4: Simplify right side
    876,640x = 1,647,195,131,761
  5. Step 5: Solve for x
    x = 1,647,195,131,761/876,640
  6. Step 6: Final answer
    x = 1,878,986.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.